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Finding the Fourth Proportional to 58,676.28, 80,952.05 and 38,544

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Solution

The fourth proportional to 58,676.28, 80,952.05 and 38,544 is: 53,176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,676.28 : 80,952.05 = 38,544 : x
  2. Step 2: Convert to fraction form
    58,676.28/80,952.05 = 38,544/x
  3. Step 3: Cross multiply
    58,676.28x = 80,952.05 × 38,544
  4. Step 4: Simplify right side
    58,676.28x = 3,120,215,622.48
  5. Step 5: Solve for x
    x = 3,120,215,622.48/58,676.28
  6. Step 6: Final answer
    x = 53,176.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.